871510 ÷ 15 
We want to figure out the number of times 871510 can be divided by 15.

Moving on to step 1:
15 can be fit into 8 0 times, resulting in a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 15

Let's proceed to step 2:
87 divided by 15 is 5 with a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 12 after subtracting 75 from 87.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 15

Advancing to step 3:
15 goes into 121 8 times with a remainder of 1.
The next digit of our result is 8. 
Result so far: 58.0
Subtracting 120 from 121 leaves us with 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 15

Going ahead to step 4:
The number 15 fits into 15 1 times, leaving a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 581.0
Deduct 15 from 15 and we're left with 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 15

On to step 5:
When dividing 1 by 15, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 5810.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 15

Advancing to step 6:
10 divided by 15 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 58100.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 58100.6
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 58100.66
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 58100.66 and a remainder of 0.01.